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Zeta Functions Of Reductive Groups And Their Zeros
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eBay item number:386830476539
Item specifics
- Condition
- Book Title
- Zeta Functions Of Reductive Groups And Their Zeros
- ISBN
- 9789813231528
- Publication Year
- 2018
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Publication Name
- Zeta Functions of Reductive Groups and Their Zeros
- Publisher
- World Industries Scientific Publishing Co Pte LTD
- Subject
- Mathematics
- Number of Pages
- 556 Pages
About this product
Product Information
This book provides a systematic account of several breakthroughs in the modern theory of zeta functions. It contains two different approaches to introduce and study genuine zeta functions for reductive groups (and their maximal parabolic subgroups) defined over number fields. Namely, the geometric one, built up from stability of principal lattices and an arithmetic cohomology theory, and the analytic one, from Langlands' theory of Eisenstein systems and some techniques used in trace formula, respectively. Apparently different, they are unified via a Lafforgue type relation between Arthur's analytic truncations and parabolic reductions of Harder-Narasimhan and Atiyah-Bott. Dominated by the stability condition and/or the Lie structures embedded in, these zeta functions have a standard form of the functional equation, admit much more refined symmetric structures, and most surprisingly, satisfy a weak Riemann hypothesis. In addition, two levels of the distributions for their zeros are exposed, i.e. a classical one giving the Dirac symbol, and a secondary one conjecturally related to GUE.This book is written not only for experts, but for graduate students as well. For example, it offers a summary of basic theories on Eisenstein series and stability of lattices and arithmetic principal torsors. The second part on rank two zeta functions can be used as an introduction course, containing a Siegel type treatment of cusps and fundamental domains, and an elementary approach to the trace formula involved. Being in the junctions of several branches and advanced topics of mathematics, these works are very complicated, the results are fundamental, and the theory exposes a fertile area for further research.
Product Identifiers
Publisher
World Industries Scientific Publishing Co Pte LTD
ISBN-13
9789813231528
eBay Product ID (ePID)
28046712480
Product Key Features
Publication Name
Zeta Functions of Reductive Groups and Their Zeros
Format
Hardcover
Language
English
Subject
Mathematics
Publication Year
2018
Type
Textbook
Number of Pages
556 Pages
Additional Product Features
Country/Region of Manufacture
Singapore
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Value Added Tax number:
- AT 685613994
- GB 203170464
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eBay item number:386830476539
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Excellent book in A1 condition. Arrived well packed and earlier than expected. ⭐️⭐️⭐️⭐️⭐️
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The delivery time was ridiculously long.. and book either was smashed in the package or it was previously used, so it not looks as new (damaged cover corners)
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